When size matters: subshifts and their related tiling spaces

Abstract

We investigate the dynamics of substitution subshifts and their associated tiling spaces. For a given subshift, the associated tiling spaces are all homeomorphic, but their dynamical properties may differ. We give criteria for such a tiling space to be weakly mixing, and for the dynamics of two such spaces to be topologically conjugate.

Updated 2018 to version published in 2003. 14 pages, no figures, LaTeX